Question 1

If the point $$(5, 55)$$ lies on the graph of $$f$$, then $$f(5) =  ____.$$

Accepted Answer

$$55$$

Question 2

Given the function $$f(x) = \frac{1}{2}x + 4$$, what is the $$y-$$intercept of the graph?

Accepted Answer

$$4$$

Question 3

Evaluate $$g(a + 1)$$ when $$g(x) = 4x - 2.$$

Accepted Answer

$$4a + 2$$

Question 4

Specify the domain of the function $$f(x) = \frac{x}{x-4}.$$

Accepted Answer

$$(-\infty, 4) \cup (4, \infty)$$

Question 5

A cab ride costs $$y = 3.14 + 1.43x$$, where $$x is $$the number of miles. What is the cost of a 4-mile cab ride?

Accepted Answer

$$8.86$$

Question 6

Determine if the relation given by the set $$\{(-3, 1), (-2, 1.3), (-1, 2.4), (0, -2.7), (1, -4.0), (2, -1.4)\} is a $$function.

Accepted Answer

Yes, because each $$x-$$value is paired with exactly one $$y-$$value.

Question 7

Bob buys a car that gets 18 miles per gallon of gasoline. Which function represents the number of miles $$y$$ that Bob can travel with $$x$$ gallons of gasoline?

Accepted Answer

$$y = 18x$$

Question 8

Find the slope of the line that passes through the points $$(5, -3)$$ and $$(7, -2).$$

Accepted Answer

$$\frac{1}{2}$$

Question 9

The decline in the value of a stock can be estimated by the function $$f(x) = -0.61x + 1289.9$$, where $$x is $$the year with 1990 as $$x = 2000. $$What is the slope of the graph of $$f$$ and what does it represent?

Accepted Answer

The slope is $$-0.61$$ and it represents the average decrease in value per year.

Question 10

Given the equation $$4(x + 20) = \frac{1}{2}(x - 12)$$, what is the solution for $$x$$?

Accepted Answer

$$x = -28$$

Question 11

A chemistry class needs to mix 3 liters of a 4% silver iodide solution with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

Accepted Answer

$$1$$

Question 12

Find the length of a rectangular lot with a perimeter of $$140 m if $$the length is $$6 m $$more than the width.

Accepted Answer

$$38 m$$

Question 13

Solve the inequality $$-3(2x - 5) \leq 9x + 24$$ and express the solution set in interval notation.

Accepted Answer

$$(-\infty, -3]$$

Question 14

Factor the expression $$x^2 + 8x + 16$ completely.

Accepted Answer

$$(x + 4)^2$

Question 15

Express the set $$(-\infty, 2] in $$interval notation as shown on the number line.

Accepted Answer

$$(-\infty, 2]$$

Question 16

Write the equation of the line passing through $$(2, 5)$$ with slope $$-2 in $$slope-intercept form.

Accepted Answer

$$y = -2x + 9$$

Question 17

If $$f(x) = 5x - 1$$, for which interval is $$f$$ increasing?

Accepted Answer

$$(-\infty, \infty)$$

Question 18

The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $$25 for the repairman to come to the house, to which a charge of 29 $$per hour is added. Which equation gives the total labor cost $$C(t)$$ for $$t$$ hours?

Accepted Answer

$$C(t) = 29t + 25$$

Question 19

Factor the expression $$42 - 17x - 6x^2$ completely.

Accepted Answer

$$-(3x + 14)(2x - 3)$$

Question 20

Given the piecewise function $$f(x) = \left\{ \begin{array}{ll} x - 5 & x \geq 0 \ -3 & x \u003c 0 \end{array} ight.$$, what is $$f(-2)$$?

Accepted Answer

$$-3$$

College Algebra: Functions, Equations, Graphs, and Applications Study Guide

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드